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Finding the Third Proportional to 320,498 and 498,228

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Solution

The third proportional to 320,498 and 498,228 is: 774,516.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,498 : 498,228 = 498,228 : x
  2. Step 2: Convert to fraction form
    320,498/498,228 = 498,228/x
  3. Step 3: Cross multiply
    320,498x = 498,228 × 498,228
  4. Step 4: Simplify right side
    320,498x = 248,231,139,984
  5. Step 5: Solve for x
    x = 248,231,139,984/320,498
  6. Step 6: Final answer
    x = 774,516.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.